Question

question
determine if the expression $-\frac{y}{z}$ is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial.
answer attempt 1 out of 2
the given expression a polynomial.

Explanation:

Step1: Recall polynomial definition

A polynomial is an expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication, with non - negative integer exponents on the variables.

Step2: Analyze the given expression

The expression is \(-\frac{y}{z}\), which can be rewritten as \(-y\times z^{- 1}\). In this expression, the variable \(z\) has an exponent of \(- 1\), which is a negative integer. Since a polynomial requires non - negative integer exponents on the variables, this expression does not meet the definition of a polynomial.

Answer:

The given expression is not a polynomial.